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Optimal Control of Spatial-Dynamic Processes: The Case of Biological Invasions

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  • Epanchin-Niell, Rebecca S.

    (Resources for the Future)

  • Wilen, James E.

Abstract

This study examines the spatial nature of optimal bioinvasion control. We develop a spatially explicit two-dimensional model of species spread that allows for differential control across space and time, and we solve for optimal spatial-dynamic control strategies. We find that the optimal strategies depend in interesting ways on the shape of the landscape and the location, shape, and contiguity of the invasion. For example, changing the shape of the invasion or using landscape features to reduce the extent of exposed invasion edge can be an optimal strategy because it reduces long-term containment costs. We also show that strategies should be targeted to slow or prevent the spread of an invasion in the direction of greatest potential long-term damages. These spatially explicit characterizations of optimal policies contribute to the largely nonspatial literature on controlling invasions and our general understanding of how to control spatial-dynamic processes.

Suggested Citation

  • Epanchin-Niell, Rebecca S. & Wilen, James E., 2011. "Optimal Control of Spatial-Dynamic Processes: The Case of Biological Invasions," RFF Working Paper Series dp-11-07, Resources for the Future.
    • Handle: RePEc:rff:dpaper:dp-11-07
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    File URL: http://www.rff.org/documents/RFF-DP-11-03.pdf
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    Cited by:

    1. Morteza Chalak & Maksym Polyakov & David J. Pannell, 2017. "Economics of Controlling Invasive Species: A Stochastic Optimization Model for a Spatial-dynamic Process," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 99(1), pages 123-139.
    2. Homans, Frances & Horie, Tetsuya, 2011. "Optimal detection strategies for an established invasive pest," Ecological Economics, Elsevier, vol. 70(6), pages 1129-1138, April.
    3. Buyuktahtakin, Esra & Feng, Zhuo & Olsson, Aaryn & Frisvold, George B. & Szidarovszky, Ferenc, 2010. "Positive Analysis of Invasive Species Control as a Dynamic Spatial Process," 2010 Annual Meeting, July 25-27, 2010, Denver, Colorado 61753, Agricultural and Applied Economics Association.

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    More about this item

    Keywords

    invasive species; spatial-dynamic processes; spatial spread; reaction-diffusion; management; cellular automaton; eradication; containment; spatial control; integer programming;
    All these keywords.

    JEL classification:

    • Q16 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - R&D; Agricultural Technology; Biofuels; Agricultural Extension Services
    • Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General
    • Q22 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Fishery
    • Q23 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Forestry
    • Q54 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Climate; Natural Disasters and their Management; Global Warming
    • Q57 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Ecological Economics

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